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Simplifying 4x + -6 + -2x + -10 = 8x + 44 + -12x + -6 Reorder the terms: -6 + -10 + 4x + -2x = 8x + 44 + -12x + -6 Combine like terms: -6 + -10 = -16 -16 + 4x + -2x = 8x + 44 + -12x + -6 Combine like terms: 4x + -2x = 2x -16 + 2x = 8x + 44 + -12x + -6 Reorder the terms: -16 + 2x = 44 + -6 + 8x + -12x Combine like terms: 44 + -6 = 38 -16 + 2x = 38 + 8x + -12x Combine like terms: 8x + -12x = -4x -16 + 2x = 38 + -4x Solving -16 + 2x = 38 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -16 + 2x + 4x = 38 + -4x + 4x Combine like terms: 2x + 4x = 6x -16 + 6x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 -16 + 6x = 38 + 0 -16 + 6x = 38 Add '16' to each side of the equation. -16 + 16 + 6x = 38 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = 38 + 16 6x = 38 + 16 Combine like terms: 38 + 16 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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